A Maslov Index for PDEs

Tuesday, February 11, 2014 - 11:30am - 12:20pm
Keller 3-180
Christopher Jones (University of North Carolina, Chapel Hill)
The Maslov Index plays a central role in the geometric view (proof) of the Morse Index Theorem. The theorem is about geodesics which are curves and therefore dependent on a single (real) variable and the Maslov Index is a topological count of the conjugate points. The Maslov Index is extended to the case of elliptic PDEs in multi-dimensional domains and generalized Morse Index Theorems will be discussed. This is joint work with J. Deng, J.Marzuola and G.Cox.
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